QUESTION 8 Which of the following matrices are in echelon form? O1 23 4 001 2 01O1 O[1011 0 0 0 0 01O1 0 023 0011 O0 1 2 3 1 1 2 3 01 1 2 11 23 0 010 0 0 00

Q: Find the particular aolution of the differential equation with the initial condition given below.…

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Q: 1) Find the derivative of the following trigonometric expressions below. Please show all of you work…

A: A)y=sin x+ cos x -3x2dydx=ddx(sin x)+ddx(cos x)-ddx(3x2)dydx=cosx -sin x -6xB)y=-12…

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Q: Solve the differential equation. (Use C for the constant of integration.) 4x2 dy dx V2 + x .3 %3D

A: See below the answer and calculation

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Q: (7) If 4.5* = 97, an approximate value of x is (A)x = log(97) × 1.987 (C) x = In(97) z 4.575 (B)x =…

A: 7.    4.5x=97 Note:      Multiple questions are given, we are answer with only one question. if you…

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A: given

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Q: tanºx sec*x dx. Use trigonometric groups..

A: Given:        ∫0π4  tan5x sec4x dx

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Q: A (x -3) dy X +y -.

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Q: w +x +4y +3z =5 2w +3x +y-z =1 w +2x -5y +4z = 3 w -3z =9

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Q: Using integration by parts, which of the following options is true of x arccse x dx ? x dx A rccsc…

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Q: b- Lim (3x³+x²-2/x²+x-2x³+1)

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Q: d f. f "'(x) = cos(x), f(0) = 8, f '(0) = 8, f "(0) -) =

A: Given query is to find the solution of the differential equation.

Q: Q.2 - Use the Riemann sum approximations to approximate the area under the curve of y = x on the…

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Q: Find all intercepts of the following function. 1 g(x)= - x-4 y-intercept: |0. x-intercept: and…

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Q: Determine the series' radius of convergence and interval of convergence: n-1 n | 1) n5" n=1 00 2n 2)…

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Q: Write the complex number in standard form. (2-J-15)* O -11+ /15i O 4- 15/5i O-11-4/15i O -11+4/15i…

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Q: 4.x 2x 7e lim 1- e4x

A: We have to find limx→∞ e4x-7e2x1-e4x.

Q: Convert the polar equation r sing = 5 in Cartesian equation form. %3D O xy + y? = 5 x = 5 Oy = 5

A: Here we have to convert the polar equation into Cartesian equation.

Q: g(b) Use the Substitution Formula, f(g(x)) g'(x) dx = f(u) du where g(x) = u, to evaluate the…

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Q: If f(x) =x* -+5VxG + 7 find f(-4) 1.

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Q: Use the new command from Example 3 above to find the volume of the parallelepiped formed by vectors…

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Q: Find all the zeros of the function and write the polynomial as a product of linear factors. х4 +…

A: Lets find the zeroes:           x4+13x2+36=0…

Q: 27. Jul 16,0 =

A: Given data÷ Vector u is given by u=ucosθi+usinθj Or  u=<ucosθ,usinθ>

Q: Find the absolute maximum and absolute minimum values of the function f(2) = a° – 6z² – 6 - 63z +4…

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Q: Suppose that f(x) = 3iV4x?² + 2 (A) Find all critical values of f. If there are no critical values,…

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Q: Find the indefinite integral. (Use C for the constant of integration.) x - 8 (x + 4)2 - dx + 64

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Use the arc length formula 2 dx 2 L = dy dt dt dt to find the arc length of the curve. x = cos 12t,…

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Q: The cost C (in millions of dollars) of removing p% of the industrial and municipal pollutants…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: Q2/ Solve the differential equation by using the appropriate method (cos²x) y' = y²(y – 1)sinx

A: We have to find the solution of the given differential equation.

Q: Convert the polar coordinates (-4, ST) to Cartesian coordinates. O (-2V3, -2) O (2V3, 2) O (2V3, -2)

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Q: 1. Sketch the region enclosed by the given curves: y = e*, y = x² – 1, x = –1, x = 1. Find the area…

A: (1)

Q: b) - 1 Use polar coordinates to evaluate the double integral || (4x2 +4y²) dA R where R is the…

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Q: (4/3,4) to polar coordinates. Convert the Cartesian coordinates O (4, 30) (V42, 150) (8, 30)

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (1,…

A: Distance from a point  (x0,y0,z0)  to the plane ax+by+cz+d=0 is given by    ax0+by0+cz0+da2+b2+c2…

Q: 9-x2 dx. Use trigonometric substitution. x2

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Q: Determine the series' radius of convergence and interval of convergence: 1/2 (n)? (x+6)" 8" n=1

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